laugh off vs dismiss

laugh off and dismiss both are verbs.

Word	Noun	Adjective	Verb	Adverb
laugh off	No	No	Yes	No
dismiss	No	No	Yes	No

As verbs, dismiss is a hypernym of laugh off; that is, dismiss is a word with a broader meaning than laugh off:

Other hypernyms of laugh off include brush aside, brush off, discount, disregard, ignore, push aside.

laugh off (verb)	dismiss (verb)
deal with a problem by laughing or pretending to be amused by it	declare void
	bar from attention or consideration
	end one's encounter with somebody by causing or permitting the person to leave
	cease to consider; put out of judicial consideration
	terminate the employment of; discharge from an office or position
	stop associating with